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Simplifying 4(x + 1) + -5(x + 4) = -11 Reorder the terms: 4(1 + x) + -5(x + 4) = -11 (1 * 4 + x * 4) + -5(x + 4) = -11 (4 + 4x) + -5(x + 4) = -11 Reorder the terms: 4 + 4x + -5(4 + x) = -11 4 + 4x + (4 * -5 + x * -5) = -11 4 + 4x + (-20 + -5x) = -11 Reorder the terms: 4 + -20 + 4x + -5x = -11 Combine like terms: 4 + -20 = -16 -16 + 4x + -5x = -11 Combine like terms: 4x + -5x = -1x -16 + -1x = -11 Solving -16 + -1x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = -11 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -11 + 16 -1x = -11 + 16 Combine like terms: -11 + 16 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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